We give a sufficient condition for coefficients of double series $\sum\sum_{n,m}a_{n,m}\chi_{n,m}$with respect to Vilenkin system to be convergent to zero when $n+m\rightarrow \infty$.This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum
@article{464,
title = {On the coefficients of multiple series with respect to Vilenkin system},
journal = {Tatra Mountains Mathematical Publications},
volume = {68},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/464}
}
Skvortsov, Valentin; Tulone, Francesco. On the coefficients of multiple series with respect to Vilenkin system. Tatra Mountains Mathematical Publications, Tome 68 (2017) . http://gdmltest.u-ga.fr/item/464/